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Finding the Fourth Proportional to 604.97, 835.00 and 408.68

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Solution

The fourth proportional to 604.97, 835.00 and 408.68 is: 564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.97 : 835.00 = 408.68 : x
  2. Step 2: Convert to fraction form
    604.97/835.00 = 408.68/x
  3. Step 3: Cross multiply
    604.97x = 835.00 × 408.68
  4. Step 4: Simplify right side
    604.97x = 341,242.60
  5. Step 5: Solve for x
    x = 341,242.60/604.97
  6. Step 6: Final answer
    x = 564.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.